The typical connection density in the Industry 4.0 era is about \(10^6\) /km\(^2\) , however, wireless communications
have a limited spectrum bandwidth for transmission.
Therefore, transmission scheduling among the ubiquitous sensors is a critical issue over the shared limited number of frequency channels.
Most existing wireless scheduling works aim for achieving certain communications performance, including throughput, latency, and reliability, and are agnostic to upper-layer applications, such as estimation and control [1]}.
However, for a multi-sensor-multi-channel remote estimation system, where each sensor measures an unstable dynamic plant, the scheduler must guarantee the stability of the remote estimation all plant states. Otherwise, some of the plants cannot be stabilized, leading to catastrophic impact on real-world systems.
The design of stability-guaranteeing multi-sensor-multi-channel remote estimator is a challenging problem and has drawn much attention in the past few years.
